Spin Hall-effect in two-dimensional hopping systems

Spin relaxation in the presence of crossed electric and magnetic fields: A quasiclassical approach

“…Our calculation reproduces the existing results on the impact of an electric field on systems with Rashba interactions 26,27,29 and extends them to systems in which both Rashba and Dresselhaus interactions are present to systems with large electric fields and to systems with crossed electric and magnetic fields. In line with the results of Refs.…”

“…[15][16][17] The reduction of the relaxation rate becomes in particular striking in the quantum-Hall limit, in which the simple exponential decay of the magnetization is replaced by an algebraic decay. 23,24 An electric field leads to an additional rotation of the magnetization, [25][26][27][28][29][30] which also affects the decay of the magnetization directly. The electric-field-induced rotation of the magnetization can be observed if the electric field exceeds a critical field.…”

“…The electric-field-induced rotation of the magnetization can be observed if the electric field exceeds a critical field. 26,27 The critical field depends on material parameters like the Rashba interaction constant, the effective mass, and the ratio between the diffusion coefficient and the mobility. Studies of the impact of crossed electric and magnetic fields have not been published so far.…”

Spin polarization in biased Rashba-Dresselhaus two-dimensional electron systems

“…Such rotations of the magnetic moment were studied previously both for hopping of small polarons 24,26 and for extended states in a two-dimensional electron gas. 27,28 In analogy to space-charge waves, these eigenmodes are called spin-remagnetization waves.…”

Spin Hall Effect in Disordered Organic Solids

“…While the SHE is adequately understood in crystalline inorganic materials, little is known about the SHE in disordered organic solids, where electrical conduction is via electron hopping. The few theoretical works on the SHE in the hopping regime [10,11] are confined to the Dresselhaus [8] and Rashba [9] forms of SOC, which are suitable for crystalline inorganic semiconductors but become inapplicable to the organics. Furthermore, in these works, the SHE appears only at the second order of SOC [10,11], which would render the SHE too weak to be detected in organics.…”